5996390400 has 1296 divisors, whose sum is σ = 28992206880. Its totient is φ = 1150156800.

The previous prime is 5996390383. The next prime is 5996390417. The reversal of 5996390400 is 40936995.

It is a happy number.

5996390400 is a `hidden beast` number, since 5 + 9 + 9 + 639 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5996390383) and next prime (5996390417).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 461260794 + ... + 461260806.

It is an arithmetic number, because the mean of its divisors is an integer number (22370530).

Almost surely, 2^5996390400 is an apocalyptic number.

5996390400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5996390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14496103440).

5996390400 is an abundant number, since it is smaller than the sum of its proper divisors (22995816480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5996390400 is a wasteful number, since it uses less digits than its factorization.

5996390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 5996390400 is about 77436.3635509829. The cubic root of 5996390400 is about 1816.7561264852.

The spelling of 5996390400 in words is "five billion, nine hundred ninety-six million, three hundred ninety thousand, four hundred".